{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- By: Jacques Joubert\n",
    "- Email: jacques@quantsportal.com\n",
    "- Reference: Advances in Financial Machine Learning, Marcos Lopez De Prado, pg 40\n",
    "\n",
    "\n",
    "# Data Analysis\n",
    "\n",
    "The following data analysis is performed on a series of E-mini S&P 500 futures tick data:\n",
    "\n",
    "1. Form tick, volume, and dollar bars\n",
    "2. Count the number of bars produced by tick, volume, and dollar bars on a weekly basis. Plot a time seiries of that bar count. What bar type produces the most stable weekly count? Why?\n",
    "3. Compute serieal correlation of returns for the three bar types. What bar method has the lowest serial correlation?\n",
    "4. Apply the Jarque-Bera normality test on returns from the three bar types. What method achieves the lowest test statistic?\n",
    "5. Standardize & Plot the Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>cum_vol</th>\n",
       "      <th>cum_dollar</th>\n",
       "      <th>cum_ticks</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date_time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2011-08-01 02:55:17.443</th>\n",
       "      <td>1305.75</td>\n",
       "      <td>1309.50</td>\n",
       "      <td>1304.00</td>\n",
       "      <td>1306.50</td>\n",
       "      <td>53552</td>\n",
       "      <td>70006277.00</td>\n",
       "      <td>15422</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-08-01 07:25:56.319</th>\n",
       "      <td>1306.75</td>\n",
       "      <td>1309.75</td>\n",
       "      <td>1304.75</td>\n",
       "      <td>1305.00</td>\n",
       "      <td>53543</td>\n",
       "      <td>70000901.00</td>\n",
       "      <td>14727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-08-01 08:33:10.903</th>\n",
       "      <td>1305.00</td>\n",
       "      <td>1305.00</td>\n",
       "      <td>1299.00</td>\n",
       "      <td>1300.00</td>\n",
       "      <td>53830</td>\n",
       "      <td>70094217.75</td>\n",
       "      <td>14987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-08-01 10:51:41.842</th>\n",
       "      <td>1300.00</td>\n",
       "      <td>1307.75</td>\n",
       "      <td>1299.00</td>\n",
       "      <td>1307.75</td>\n",
       "      <td>53734</td>\n",
       "      <td>70033006.25</td>\n",
       "      <td>14499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-08-01 12:10:26.542</th>\n",
       "      <td>1307.75</td>\n",
       "      <td>1308.50</td>\n",
       "      <td>1303.25</td>\n",
       "      <td>1303.50</td>\n",
       "      <td>53990</td>\n",
       "      <td>70477548.75</td>\n",
       "      <td>13854</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                            open     high      low    close  cum_vol  \\\n",
       "date_time                                                              \n",
       "2011-08-01 02:55:17.443  1305.75  1309.50  1304.00  1306.50    53552   \n",
       "2011-08-01 07:25:56.319  1306.75  1309.75  1304.75  1305.00    53543   \n",
       "2011-08-01 08:33:10.903  1305.00  1305.00  1299.00  1300.00    53830   \n",
       "2011-08-01 10:51:41.842  1300.00  1307.75  1299.00  1307.75    53734   \n",
       "2011-08-01 12:10:26.542  1307.75  1308.50  1303.25  1303.50    53990   \n",
       "\n",
       "                          cum_dollar  cum_ticks  \n",
       "date_time                                        \n",
       "2011-08-01 02:55:17.443  70006277.00      15422  \n",
       "2011-08-01 07:25:56.319  70000901.00      14727  \n",
       "2011-08-01 08:33:10.903  70094217.75      14987  \n",
       "2011-08-01 10:51:41.842  70033006.25      14499  \n",
       "2011-08-01 12:10:26.542  70477548.75      13854  "
      ]
     },
     "execution_count": 134,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read in data\n",
    "dollar_bars = pd.read_csv('official_data/dollar_bars.csv', index_col=0)\n",
    "volume_bars = pd.read_csv('official_data/volume_bars.csv', index_col=0)\n",
    "tick_bars = pd.read_csv('official_data/tick_bars.csv', index_col=0)\n",
    "time_bars = pd.read_csv('official_data/30_minES.csv', index_col=0)\n",
    "\n",
    "# Convert index to date_time\n",
    "time_bars.index = pd.to_datetime(time_bars.index)\n",
    "tick_bars.index = pd.to_datetime(tick_bars.index)\n",
    "volume_bars.index = pd.to_datetime(volume_bars.index)\n",
    "dollar_bars.index = pd.to_datetime(dollar_bars.index)\n",
    "\n",
    "# Subset data\n",
    "time_bars = time_bars['2011-08-01':'2015-01-01']\n",
    "tick_bars = tick_bars['2011-08-01':'2015-01-01']\n",
    "volume_bars = volume_bars['2011-08-01':'2015-01-01']\n",
    "dollar_bars = dollar_bars['2011-08-01':'2015-01-01']\n",
    "\n",
    "# Show example\n",
    "dollar_bars.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What bar type produces the most stable weekly count? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "time_count = time_bars['Close'].resample('W', label='right').count()\n",
    "tick_count = tick_bars['close'].resample('W', label='right').count()\n",
    "volume_count = volume_bars['close'].resample('W', label='right').count()\n",
    "dollar_count = dollar_bars['close'].resample('W', label='right').count()\n",
    "\n",
    "count_df = pd.concat([time_count, tick_count, volume_count, dollar_count], axis=1)\n",
    "count_df.columns = ['time', 'tick', 'volume', 'dollar']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "count_df.loc[:, ['tick', 'volume', 'dollar']].plot(kind='bar', figsize=[25, 5], color=('darkred', 'darkblue', 'green', 'darkcyan'))\n",
    "plt.title('Number of bars over time', loc='center', fontsize=20, fontweight=\"bold\", fontname=\"Times New Roman\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the above we can see that Tick bars vary the most over time. Follwed by volume and then dollar."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute serieal correlation of returns for the four bar types. What bar method has the lowest serial correlation?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "time_returns = np.log(time_bars['Close']).diff().dropna()\n",
    "tick_returns = np.log(tick_bars['close']).diff().dropna()\n",
    "volume_returns = np.log(volume_bars['close']).diff().dropna()\n",
    "dollar_returns = np.log(dollar_bars['close']).diff().dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(time_returns, lags=10, zero=False)\n",
    "plt.title('Time Bars AutoCorrelation')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(tick_returns, lags=10, zero=False)\n",
    "plt.title('Tick Bars AutoCorrelation')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(volume_returns, lags=10, zero=False)\n",
    "plt.title('Volume Bars AutoCorrelation')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(dollar_returns, lags=10, zero=False)\n",
    "plt.title('Dollar Bars AutoCorrelation')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Apply the Jarque-Bera normality test on returns from the three bar types. What method achieves the lowest test statistic?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test Statistics:\n",
      "Time: \t 1782853\n",
      "Tick: \t 2898186\n",
      "Volume:  337591\n",
      "Dollar:  143045\n"
     ]
    }
   ],
   "source": [
    "print('Test Statistics:')\n",
    "print('Time:', '\\t', int(stats.jarque_bera(time_returns)[0]))\n",
    "print('Tick:', '\\t', int(stats.jarque_bera(tick_returns)[0]))\n",
    "print('Volume: ', int(stats.jarque_bera(volume_returns)[0]))\n",
    "print('Dollar: ', int(stats.jarque_bera(dollar_returns)[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standardize & Plot the Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the differences\n",
    "time_diff = time_returns\n",
    "tick_diff = tick_returns\n",
    "volume_diff = volume_returns\n",
    "dollar_diff = dollar_returns\n",
    "\n",
    "# Standardize the data\n",
    "time_standard = (time_diff - time_diff.mean()) / time_diff.std()\n",
    "tick_standard = (tick_diff - tick_diff.mean()) / tick_diff.std()\n",
    "volume_standard = (volume_diff - volume_diff.mean()) / volume_diff.std()\n",
    "dollar_standard = (dollar_diff - dollar_diff.mean()) / dollar_diff.std()\n",
    "\n",
    "# Plot the Distributions\n",
    "plt.figure(figsize=(14,10))\n",
    "sns.kdeplot(time_standard, label=\"Time\", color='darkred')\n",
    "sns.kdeplot(tick_standard, label=\"Tick\", color='darkblue')\n",
    "sns.kdeplot(volume_standard, label=\"Volume\", color='green')\n",
    "sns.kdeplot(dollar_standard, label=\"Dollar\", linewidth=2, color='darkcyan')\n",
    "\n",
    "sns.kdeplot(np.random.normal(size=len(volume_returns)), label=\"Normal\", color='black', linestyle=\"--\")\n",
    "\n",
    "plt.xticks(range(-5, 6))\n",
    "plt.legend(loc=8, ncol=5)\n",
    "plt.title('Exhibit 1 - Partial recovery of Normality through a price sampling process \\nsubordinated to a volume, tick, dollar clock',\n",
    "          loc='center', fontsize=20, fontweight=\"bold\", fontname=\"Times New Roman\")\n",
    "plt.xlim(-5, 5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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